2182704226560 has 1728 divisors, whose sum is σ = 9503596118016. Its totient is φ = 472382668800.

The previous prime is 2182704226553. The next prime is 2182704226579. The reversal of 2182704226560 is 656224072812.

2182704226560 is a `hidden beast` number, since 2 + 1 + 8 + 27 + 0 + 42 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1378839529 + ... + 1378841111.

It is an arithmetic number, because the mean of its divisors is an integer number (5499766272).

Almost surely, 2^{2182704226560} is an apocalyptic number.

2182704226560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182704226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751798059008).

2182704226560 is an abundant number, since it is smaller than the sum of its proper divisors (7320891891456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2182704226560 is a wasteful number, since it uses less digits than its factorization.

2182704226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2182704226560 in words is "two trillion, one hundred eighty-two billion, seven hundred four million, two hundred twenty-six thousand, five hundred sixty".